1) Kindly explain to me the importance of random sampling. What problems/limitations could prevent a truly random sampling and how can they be prevented
2) How large would a population have to be for a sample to be appropriate (i.e., rather than measuring the whole population)
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Random sampling is important because it assures that the conclusions you draw can be applied to your entire population.
The following could cause problems with random sampling:
1 - The experimenter selects a sample that is too small.
2 - The experimenter does not understand the population. The could lead to:
A) ...
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